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Finding the Third Proportional to 237,131 and 361,628

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Solution

The third proportional to 237,131 and 361,628 is: 551,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,131 : 361,628 = 361,628 : x
  2. Step 2: Convert to fraction form
    237,131/361,628 = 361,628/x
  3. Step 3: Cross multiply
    237,131x = 361,628 × 361,628
  4. Step 4: Simplify right side
    237,131x = 130,774,810,384
  5. Step 5: Solve for x
    x = 130,774,810,384/237,131
  6. Step 6: Final answer
    x = 551,487.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.